When a person cycles at high speed on a turn, his body bends inwards, to raise the horizontal component of the normal reaction to provide the centripetal force for the turn. The more the speed is, more is the centripetal force needed and hence more is the bending.
Now if in place of the cycle, we keep a bus, then similarly bus needs more centripetal force and hence the normal component should rise by bending the bus inwards. But if we consider common experience, bus bends outwards, raising the inner tyres. Does this not lead to normal reaction being applied away from the centre of the circle? Why does this happen?